n = 4
N = 171

Ex = [  0.5266  16.6962  2.7494  2.5215 ]

y = [
          6
          6
         10
         10
          6
         15
         12
         16
         14
         10
          5
          8
         11
         17
          6
         18
         11
         11
         11
         20
         10
         16
         11
         11
          9
          6
          8
         16
          5
         10
         10
         12
          6
         15
         10
         10
          8
         14
         10
         10
         14
         18
         16
          9
         15
         15
          9
          1
          1
          1
         12
         13
          1
         11
          1
         11
         10
          1
         14
         13
         10
         15
          1
          7
          7
         16
          1
         14
         16
         10
          9
          9
         11
         15
         13
          9
          8
         18
         10
         10
          7
          8
         10
          8
          6
          1
         17
         14
          7
          9
         12
         11
          6
         13
         12
         11
          1
         12
          1
         18
         13
          8
         15
          8
         10
          8
          8
         12
          8
         14
          1
          9
          1
          1
         14
         11
         14
         10
          9
          9
          8
         12
         10
         11
         12
         14
         11
         13
         11
         12
         10
          1
         13
         11
         13
         11
          1
         10
         11
         11
         11
          8
         14
         11
          1
         10
          9
          8
          8
         10
         16
         13
         12
         15
         12
          1
         11
         12
         11
          5
         10
         10
          7
          1
          1
          8
          1
          9
         16
          7
          9
]

x = [
      1     18      4      4
      1     17      1      1
      1     15      1      1
      1     16      3      3
      1     17      4      4
      0     15      3      4
      1     15      2      1
      0     15      2      2
      1     16      4      4
      1     16      3      3
      0     17      3      2
      1     16      2      2
      0     15      2      2
      0     15      4      4
      1     15      2      3
      0     15      4      3
      1     15      3      4
      0     15      2      2
      1     16      3      3
      0     16      4      3
      1     16      2      1
      1     16      4      2
      1     16      4      4
      1     16      1      1
      1     16      4      3
      1     16      3      1
      1     15      2      2
      1     15      3      1
      1     15      1      1
      0     15      4      0
      0     17      2      1
      0     15      2      3
      1     15      3      2
      0     15      2      2
      1     15      1      1
      0     16      2      2
      1     16      3      3
      0     15      2      2
      1     15      1      1
      1     16      2      1
      1     16      4      4
      0     16      3      3
      1     16      4      4
      0     15      2      1
      1     15      1      2
      0     15      2      2
      1     19      0      1
      0     18      2      2
      1     15      1      1
      1     15      4      4
      0     16      1      1
      1     16      1      1
      0     17      2      1
      1     15      1      1
      1     15      3      2
      1     15      1      2
      0     15      2      1
      0     18      1      1
      0     16      2      1
      0     17      1      2
      1     18      1      1
      0     16      2      2
      0     17      2      1
      0     15      3      2
      0     17      1      1
      1     16      4      2
      1     16      2      2
      1     16      4      4
      0     16      1      0
      0     17      4      4
      1     16      3      3
      0     17      4      3
      1     16      2      2
      0     16      2      1
      1     16      2      3
      1     17      1      1
      0     17      1      2
      1     17      4      4
      1     17      1      1
      1     16      1      1
      1     17      4      3
      0     18      2      2
      1     17      4      4
      0     18      3      3
      1     17      2      1
      1     17      1      1
      1     16      2      3
      1     16      4      4
      1     18      3      1
      0     18      2      1
      1     17      2      1
      0     17      2      2
      0     16      1      1
      0     17      2      2
      1     16      2      1
      1     17      2      1
      0     18      2      2
      0     17      4      3
      1     18      2      1
      0     16      2      1
      0     17      2      3
      0     22      3      1
      0     16      0      2
      0     18      3      2
      0     16      3      3
      0     18      2      1
      0     16      2      1
      0     17      2      1
      0     17      1      1
      0     18      2      1
      1     17      2      2
      1     17      3      3
      1     18      2      2
      1     18      2      1
      1     18      2      3
      1     18      1      1
      0     17      1      2
      1     17      2      4
      1     18      3      2
      0     18      4      4
      0     17      4      1
      1     18      1      1
      1     18      1      1
      0     17      1      1
      1     17      1      1
      0     18      2      1
      0     18      4      2
      1     18      2      1
      0     17      3      3
      1     18      2      4
      1     19      1      1
      1     19      1      2
      1     19      2      1
      0     19      1      2
      1     19      1      1
      1     19      2      3
      1     18      2      1
      1     17      3      4
      1     18      4      4
      1     17      2      2
      0     18      4      4
      0     18      2      2
      1     17      2      4
      1     19      2      1
      1     17      2      2
      1     18      2      3
      0     18      4      3
      0     19      1      1
      0     19      1      1
      0     18      1      1
      1     18      1      1
      1     18      1      4
      0     18      1      1
      1     17      4      4
      1     17      1      2
      1     17      1      1
      1     18      4      4
      0     18      1      2
      1     17      2      2
      1     17      1      2
      1     18      1      1
      1     18      4      4
      0     18      2      1
      0     19      1      1
      1     19      2      3
      1     18      3      1
      1     18      1      1
      0     20      2      2
      0     17      3      1
      0     21      1      1
      0     19      1      1
]

p_true = [
      0.096203
      0.000000
      0.000000
      0.002532
      0.017722
      0.037975
      0.022785
      0.081013
      0.070886
      0.141772
      0.118987
      0.078481
      0.078481
      0.068354
      0.083544
      0.040506
      0.015190
      0.030380
      0.012658
      0.002532
]

p_empirical = [
      0.122807
      0.000000
      0.000000
      0.000000
      0.017544
      0.046784
      0.035088
      0.093567
      0.076023
      0.146199
      0.134503
      0.076023
      0.052632
      0.064327
      0.046784
      0.046784
      0.011696
      0.023392
      0.000000
      0.005848
]
